轴向运动曲梁的次谐分岔和混沌  

Subharmonic Bifurcations and Chaos for the Buckled Beam at Axial Motion

作　　者：王晶 张冬梅 

机构地区：[1]临沂大学数学与统计学院,山东临沂

出　　处：《应用数学进展》2019年第7期1277-1283,共7页Advances in Applied Mathematics

基　　金：山东省自然科学基金资助(ZR2018MA002);2018大学生创新创业项目资助(51819220)。

摘　　要：研究了一类轴向运动屈曲梁的次谐分岔和混沌行为。利用Melnikov方法,给出了屈曲梁异宿轨道Melnikov函数和次谐Melnikov函数的表达式,得到系统出现次谐分岔和超次谐分岔的参数条件,给出系统混沌区域和非混沌区域的分界曲线。根据参数的取值范围做数值模拟,结果验证了理论分析。The subharmonic bifurcations and chaos for one kind of buckled beam model subjected to para-metric excitations are investigated.The critical curves separating the chaotic and non-chaotic re-gions are obtained by utilizing Melnikov method.The conditions for subharmonic bifurcations are also obtained.Numerical results are given,which verify the analytical ones.

关 键 词：屈曲梁 次谐分岔 混沌 MELNIKOV方法 

分 类 号：O41[理学—理论物理]